• Title/Summary/Keyword: Rectangular grid system

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Numerical Study on Wave Resistance of a High Speed Catamaran (고속 카타마란의 조파저항 수치연구)

  • 곽승현
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.04a
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    • pp.29-34
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    • 2000
  • This paper describes a numerical study to make clear the characteristics of flow around a high speed catamaran hull advancing on calm water. The simulation is carried out at Froude number of 0.5 with a separation to length rations of 0.2 to 0.5. To simulate the flows, the Navier-Stokes solver is employed in which the free surface condition is included. Computations are performed in a rectangular grid system based grid system based on the Marker & Cell method. For the validation, the computation results are compared with the experiments.

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Theoretical and experimental study of robustness based design of single-layer grid structures

  • Wu, Hui;Zhang, Cheng;Gao, Bo-Qing;Ye, Jun
    • Structural Engineering and Mechanics
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    • v.52 no.1
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    • pp.19-33
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    • 2014
  • Structural robustness refers to the ability of a structure to avoid disproportionate consequences to the original cause. Currently attentions focus on the concepts of structural robustness, and discussions on methods of robustness based structural design are rare. Firstly, taking basis in robust $H_{\infty}$ control theory, structural robustness is assessed by $H_{\infty}$ norm of the system transfer function. Then using the SIMP material model, robustness based design of grid structures is formulated as a continuum topology optimization problem, where the relative density of each element and structural robustness are considered as the design variable and the optimization objective respectively. Generalized elitist genetic algorithm is used to solve the optimization problem. As examples, robustness configurations of plane stress model and the rectangular hyperbolic shell model were obtained by robustness based structural design. Finally, two models of single-layer grid structures were designed by conventional and robustness based method respectively. Different interference scenarios were simulated by static and impact experiments, and robustness of the models were analyzed and compared. The results show that the $H_{\infty}$ structural robustness index can indicate whether the structural response is proportional to the original cause. Robustness based structural design improves structural robustness effectively, and it can provide a conceptual design in the initial stage of structural design.

Analysis of 2-Dimensional Shallow Water Equations Using Multigrid Method and Coordinate Transformation

  • Lee, Jong-Seol;Cho, Won-Cheol
    • International Union of Geodesy and Geophysics Korean Journal of Geophysical Research
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    • v.26 no.1
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    • pp.1-14
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    • 1998
  • Various numerical methods for the two dimensional shallow water equations have been applied to the problems of flood routing, tidal circulation, storm surges, and atmospheric circulation. These methods are often based on the Alternating Direction Implicity(ADI) method. However, the ADI method results in inaccuracies for large time steps when dealing with a complex geometry or bathymetry. Since this method reduces the performance considerably, a fully implicit method developed by Wilders et al. (1998) is used to improve the accuracy for a large time step. Finite Difference Methods are defined on a rectangular grid. Two drawbacks of this type of grid are that grid refinement is not possibile locally and that the physical boundary is sometimes poorly represented by the numerical model boundary. Because of the second deficiency several purely numerical boundary effects can be involved. A boundary fitted curvilinear coordinate transformation is used to reduce these difficulties. It the curvilinear coordinate transformation is used to reduce these difficulties. If the coordinate transformation is orthogonal then the transformed shallow water equations are similar to the original equations. Therefore, an orthogonal coorinate transformation is used for defining coordinate system. A multigrid (MG) method is widely used to accelerate the convergence in the numerical methods. In this study, a technique using a MG method is proposed to reduce the computing time and to improve the accuracy for the orthogonal to reduce the computing time and to improve the accuracy for the orthogonal grid generation and the solutions of the shallow water equations.

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Applications of A Hydrologic Model to Small Watersheds -Description of Model Components- (小流域 水文模型의 開發과 應小流域 水文模型의 開發과 應用(I) -模型의 構成-)

  • Park, Seung-Woo
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.26 no.2
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    • pp.125-132
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    • 1984
  • A physically-based, distributed, parametric hydrologic model PARK 10 is described and its test results with three agricultural watersheds are presented. The model uses a rectangular grid system to depict hydrologic characteristics of a watershed, and thus, has potentials of identifying the effects of changes in land uses and/or other activities. The model is being tested with small watersheds in the pennisula.

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Techniques of Internally Generating Waves on A Curve and Specifying Partial Reflection Conditions (파랑 수치모형에서 곡선형 내부조파기법과 부분반사조건 적용기법 개발)

  • Lee, Chang-Hoon;Kim, Min-Kyun;Kim, Duk-Gu;Choi, Hyuk-Jin;Cho, Yong-Jun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.532-537
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    • 2005
  • The techniques of internally generating waves on a curve in a rectangular grid system are developed using the line source method. Numerical experiments are conducted using the extended mild-slope equations of Suh et al. (1997). For five different types of wave generation layout, numerical experiments are conducted in the cases of the propagation of waves on a flat bottom, and the refraction and shoaling of waves on a plane slope. The fifth type of wave generation, which consists of two parallel lines connected to a semicircle, shows the best solutions especially when the grid size is small enough.

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Analysis of the False Diffusion Effects in Numerical Simulation of Diesel Spray Impinging on Inclined Walls (경사진 벽충돌 디젤 분무에 대한 수치해석에서 오류확산이 미치는 영향)

  • Gwon, H.R.;Lee, S.H.
    • Journal of ILASS-Korea
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    • v.13 no.1
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    • pp.22-27
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    • 2008
  • The false diffusion occurs generally when the flow is oblique to the grid lines and when there is a non-zero gradient of the dependent variable in the direction normal to the flow. This numerical problem can overestimate diffusion terms in the continuous phase, causing the numerical inaccuracy for the simulation of impinging sprays on inclined walls because most of spray calculation uses rectangular grid system. Therefore, the main objective of this article is to investigate numerically the influence of false diffusion on numerical simulation for spray-wall impingement on inclined walls. It is found that unlike the spray impingement normal to the wall, the numerical diffusion exists in the case when diesel sprays impinge on the inclined walls with different angles. The results show that the correction function should be considered for accurate prediction of spray penetration length and more elaborate numerical schemes should be utilized to reduce the false diffusion.

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Numerical analysis of the cooling effects for the first wall of fusion reactor (핵 융합로 제1벽의 냉각성능에 관한 수치해석적 연구)

  • Jeong, I.S.;Hwang, Y.K.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.11 no.1
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    • pp.18-30
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    • 1999
  • A heat transfer analysis for the two-dimensional (2-D) steady state using finite difference method (FDM) is performed to predict the thermal behavior of the primary first-wall (FW) system of fusion reactor under various geometric and thermo-hydraulic conditions, such as the beryllium (Be) armor thickness, pitch of cooling tube, and coolant velocity. The FW consists of authentic steel (type 316 stainless steel solution annealed) for cooling tubes, Cu for cooling tubes embedding material, and Be for a protective armor, based on the International Thermonuclear Experiment Reactor (ITER) report. The present 2-D analysis, the control volume discretized with hybrid grid (rectangular grid and polar grid) and Gauss-Seidel iteration method are adapted to solve the governing equations. In the present study, geometric and thermo-hydraulic parameters are optimized with consideration of several limitations. Consequently, it is suggested that the adequate pitch of cooling tube is 22-32mm, the beryllium armor thickness is 10-12mm, and that the coolant velocity is 4.5m/s-6m/s for $100^{\circ}C$ of inlet coolant temperature. The cooling tube should locate near beryllium armor. But, it would be better for locating the center of Cu wall, considering problems of material and manufacturing. Also, 2-D analysis neglecting the axial temperature distribution of cooling tube is appropriate, regarding the discretization error in axial direction.

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Development of a Visual Simulation System for the Motion Rider (모션 라이더를 위한 시각 시뮬레이션 시스템의 개발)

  • Kwon, Jung-Hoon;Kwon, Young-Woong
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.14 no.5
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    • pp.55-61
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    • 2005
  • In this paper, we propose the visual simulation system for virtual reality motion rider system. The visual simulation system can apply verity virtual reality system. This paper deals with programs on 3D automatic creation of terrain, road design, and a realtime rendering program for the virtual reality system. For the 3D automatic creation of terrain, DEM data and rectangular grid method are applied. We can make two different road object with the road design program. One of them includes road definition, and the other is obtained by using 'NURBS curve.' Visual simulation is consisted by additional modeling and real-time rendering. We can apply the programs made in this way to visual system of driving simulator.

Novel Intensity-Based Fiber Optic Vibration Sensor Using Mass-Spring Structure (질량-스프링 구조를 이용한 새로운 광세기 기반 광섬유 진동센서)

  • Yi, Hao;Kim, Hyeon-Ho;Choi, Sang-Jin;Pan, Jae-Kyung
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.6
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    • pp.78-86
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    • 2014
  • In this paper, a novel intensity-based fiber optic vibration sensor using a mass-spring structure, which consists of four serpentine flexure springs and a rectangular aperture within a proof mass, is proposed and its feasibility test is given by the simulation and experiment. An optical collimator is used to broaden the beam which is modulated by the displacement of the rectangular aperture within the proof mass. The proposed fiber optic vibration sensor has been analyzed and designed in terms of the optical and mechanical parts. A mechanical structure has been designed using theoretical analysis, mathematical modeling, and 3D FEM (Finite Element Method) simulation. The relative aperture displacement according to the base vibration is given using FEM simulation, while the output beam power according to the relative displacement is measured by experiment. The simulated sensor sensitivity of $15.731{\mu}W/G$ and detection range of ${\pm}6.087G$ are given. By using reference signal, the output signal with 0.75% relative error shows a good stability. The proposed vibration sensor structure has the advantages of a simple structure, low cost, and multi-point sensing characteristic. It also has the potential to be made by MEMS (Micro-Electro-Mechanical System) technology.

Inundation of Tsunamis Based on Quadtree Grid System (사면구조 격자에 의한 지진해일의 범람영역)

  • Lin, Tae-Hoon;Park, Koo-Yong;Cho, Yong-Sik
    • Journal of the Korean Society of Hazard Mitigation
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    • v.4 no.2 s.13
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    • pp.71-76
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    • 2004
  • To investigate the inundation of tsunamis in the vicinity of a circular island, a numerical model has been developed based on quadtree grids. The governing equations of the model are the nonlinear shallow-water equations. The governing equations are discretized explicitly by using a finite difference leap-frog scheme on adaptive hierarchical quadtree grids. The quadtree grids are generated around a circular island where refined with rectangular or circular domain. Obtained numerical results have been verified by comparing to available laboratory measurements of run-up heights. A good agreement has been achieved.